An upper and lower solution approach for singular boundary value problems with sign changing non‐linearities | Zendy

Agarwal Ravi P. | Zendy; O'Regan Donal | Zendy

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An upper and lower solution approach for singular boundary value problems with sign changing non‐linearities

Author(s) -

Agarwal Ravi P.,

O'Regan Donal

Publication year - 2002

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.300

Subject(s) - mathematics , sign (mathematics) , boundary value problem , singular solution , fixed point theorem , term (time) , order (exchange) , mathematical analysis , schauder fixed point theorem , value (mathematics) , pure mathematics , brouwer fixed point theorem , physics , statistics , finance , quantum mechanics , economics

We obtain via Schauder's fixed point theorem new results for singular second‐order boundary value problems where our non‐linear term f ( t , y , z ) is allowed to change sign. In particular, our problem may be singular at y =0, t =0 and/or t =1. Copyright © 2002 John Wiley & Sons, Ltd.

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